Keep in mind that video games are such a major part of the culture that many of her friends will play them as she grows up, so she will likely gravitate towards them.
I actually eased back on the video games for my son because I was afraid I introduced them too early and didn’t want him too interested in them before he had even learned important things, like how to read. Now, though, he’s running around the neighborhood with his friends and the all have video games so sometimes he plays. I’m actually loading up on multiplayer games to encourage him and his friends to hang out at our house sometimes.